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Cook the Potatoes
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Place potatoes in a large pot and cover with salted water.
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Bring to a boil and cook for 15–20 minutes, until tender.
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Drain well.
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Make the Mash
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Mash the potatoes with butter and milk.
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Season with salt and pepper.
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Cover and keep warm.
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Cook the Mince
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Heat oil in a large skillet over medium heat.
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Add onion and carrot and cook for about 5 minutes until softened.
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Stir in garlic and cook for 1 minute.
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Brown the Beef
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Add ground beef to the pan.
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Cook until browned, breaking it up with a spoon.
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Build the Gravy
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Stir in flour and cook for 1 minute.
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Add tomato paste, Worcestershire sauce, thyme, and beef broth.
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Stir well and bring to a gentle simmer.
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Simmer
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Let the mixture cook for 15–20 minutes, stirring occasionally, until the gravy thicke